National 5 Mathematics Quiz
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Questions and Answers

Factorise the following non-unitary trinomial: $3x^2 - 10x - 8$.

$(3x + 2)(x - 4)$

Calculate the scale factor if the area of a figure is multiplied by 9.

The scale factor is 3, as the area is multiplied by the square root of 9, which is 3.

Find the equation of the line parallel to $y = 2x + 5$ passing through the point (3, 7).

The equation of the line is $y = 2x + 1$.

Factorise the following non-unitary trinomial: $3x^2 - 7x - 6$.

<p>The factorisation of the non-unitary trinomial $3x^2 - 7x - 6$ is $(x-3)(3x+2)$.</p> Signup and view all the answers

Find the equation of the line passing through the points $(-2, 4)$ and $(3, -1)$.

<p>The equation of the line passing through the points $(-2, 4)$ and $(3, -1)$ is $y = -\frac{5},{5}x + 3$.</p> Signup and view all the answers

Calculate the scale factor if the area of a figure is multiplied by 9.

<p>If the area of a figure is multiplied by 9, the scale factor is $\sqrt{9}=3$.</p> Signup and view all the answers

Factorise the following non-unitary trinomial: $4x^2 - 7x - 2$.

<p>(4x+1)(x-2)</p> Signup and view all the answers

Find the length of the hypotenuse in a right-angled triangle with legs of length 5 and 12 using the Pythagorean theorem.

<p>13</p> Signup and view all the answers

Solve the equation $2\sin(x) + \cos(x) = 1$ for $0^\circ \leq x \leq 360^\circ$.

<p>30° and 150°</p> Signup and view all the answers

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